Affiliation:
1. University of Pennsylvania
2. Turbine Engineering Department, Westinghouse Electric Corporation, Lester, Pa.
Abstract
Abstract
This paper presents an extension of Myklestad’s adaptation of the Holzer method of calculating natural frequencies and mode shapes of systems to the case of a tapered-twisted beam with certain elastic constraints. The details of the solution are so arranged that the bulk of the numerical calculations can be carried out by a technician with only a high-school mathematical background. This extension makes possible the evaluation of the effect of rotation of a beam on a radial line, of certain elastic constraints such as the lashing wires and shrouding used on turbine blades, and of coupling between the torsional and flexural vibrations. In this paper, however, the effects of coupling between the torsional and flexural vibrations will not be considered. The basic differential equation will be solved by the tabular method due to Holzer.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
20 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. A dynamic model of a micro-stepped mill with time-dependent boundary conditions;Journal of Vibration and Control;2012-03-05
2. Bladed Disks;History of Mechanism and Machine Science;2011
3. Instability of a cracked twisted beam with a time-dependent boundary;Nonlinear Dynamics;2010-09-15
4. Model of vibration in drilling into fibre-reinforced composite materials;Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture;2009-06-02
5. Effect of crack on drilling vibration;Journal of Sound and Vibration;2009-05